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Finding the Fourth Proportional to 7,728.86, 10,665.81 and 4,192.06

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Solution

The fourth proportional to 7,728.86, 10,665.81 and 4,192.06 is: 5,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.86 : 10,665.81 = 4,192.06 : x
  2. Step 2: Convert to fraction form
    7,728.86/10,665.81 = 4,192.06/x
  3. Step 3: Cross multiply
    7,728.86x = 10,665.81 × 4,192.06
  4. Step 4: Simplify right side
    7,728.86x = 44,711,715.47
  5. Step 5: Solve for x
    x = 44,711,715.47/7,728.86
  6. Step 6: Final answer
    x = 5,785.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.